Interpolation problems arise in many areas where there is a need to construct a continuous
surface from irregularly spaced data points. This problem has a number of solutions and …

This book presents a novel approach to umbral calculus, which uses only elementary linear
algebra (matrix calculus) based on the observation that there is an isomorphism between …

We propose a new combination of the bivariate Shepard operators (Coman and Trîmbiţaş,
2001 [2]) by the three point Lidstone polynomials introduced in Costabile and Dell'Accio …

Recently we have introduced a new technique for combining classical bivariate Shepard
operators with three point polynomial interpolation operators (Dell'Accio and Di Tommaso …

A general procedure to determine collocation methods for high order boundary value
problems is presented. These methods provide globally continuous differentiable solution in …

A class of methods for the numerical solution of high‐order differential equations with
Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation …

We shall introduce and construct explicitly the complementary Lidstone interpolating
polynomial of degree, which involves interpolating data at the odd-order derivatives. For we …

In this paper, we introduce the complementary q-Lidstone interpolating polynomial of degree
2 n, which involves interpolating data at the odd-order q-derivatives. For this polynomial, we …

Two new general classes of polynomial sequences called respectively odd and even
Lidstone-type polynomials are considered. These classes include classic Lidstone …

We collect classical and more recent results on polynomial approximation of sufficiently
regular real functions defined in bounded closed intervals by means of boundary values …